Least Common Multiple of 4/846, 43/567, 39/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/846, 43/567, 39/114 quickly i.e. 2236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/846, 43/567, 39/114 is 2236.

LCM(4/846, 43/567, 39/114) = 2236

LCM of 4/846, 43/567, 39/114

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 4/846,43/567,39/114

Given numbers are 4/846,43/567,39/114

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 4,43,39

Least Common Multiple of Numerators i.e. LCM of 4,43,39 is 6708.

GCF of Denominators means GCF of 846,567,114 as per the given fractions.

GCF of 846,567,114 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,43,39

LCM of Fractions 4/846,43/567,39/114 is 2236

Given numbers has no common factors except 1. So, there LCM is their product i.e 6708

Least Common Multiple of 4,43,39 with GCF Formula

Least Common Multiple of 4,43,39 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 4,43,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,43,39) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(4,43,39) x common factors =1 x 1 = 1

LCM(4,43,39) = ( 4 × 43 × 39 ) / 1

LCM(4,43,39) = 6708 / 1

LCM(4,43,39) = 6708


Lets's calculate GCF of 846,567,114

3 846, 567, 114
282, 189, 38

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6708/3

Therefore the LCM of Fractions 4/846,43/567,39/114 is 2236

Greatest Common Factor of 846,567,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,567,114 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 846,567,114 . The biggest common factor number is the GCF number.
So the greatest common factor 846,567,114 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 4/846, 43/567, 39/114

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 4/846, 43/567, 39/114?

Answer: LCM of Numerators as per given numbers 4/846, 43/567, 39/114 is

LCM of Numerators i.e. for 4,43,39 is 6708

GCF of denominators i.e. for 846,567,114 is 3.

Thus, LCM of Fractions is 2236.Finally, LCM of Fractions for 4/846, 43/567, 39/114 is 2236.